Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97216bp |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-3346246270976 = -1 · 217 · 77 · 31 |
Discriminant |
Eigenvalues |
2- -1 1 7- 4 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,88033] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:196:1] |
Generators of the group modulo torsion |
j |
-2/217 |
j-invariant |
L |
6.0868166361768 |
L(r)(E,1)/r! |
Ω |
0.63285409267757 |
Real period |
R |
1.2022551266147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97216u1 24304c1 13888u1 |
Quadratic twists by: -4 8 -7 |